Jauch-Piron states on concrete quantum logics
type: Item
instance of: scholarly article
title: Jauch-Piron states on concrete quantum logics
zbMATH Open document ID: 0791.03039
DOI: 10.1007/BF00673353
published in: International Journal of Theoretical Physics
publication date: 1994-07-07T00:00:00Z
review text: Let us call a quantum logic \(L\) Jauch-Piron if each state on \(L\) is Jauch-Piron. (A state \(s\) on \(L\) is called Jauch-Piron if \(\{s(a)= s(b)=1\) for \(a,b\in L\Rightarrow\) there is a \(c\in L\) such that \(c\leq a\), \(c\leq b\) and \(s(c)=1\}\).) This neat paper exhibits a set-representable Jauch-Piron logic which is not Boolean. The construction technique presents an interesting novelty in orthomodular structures.
Mathematics Subject Classification ID: 03G12
Mathematics Subject Classification ID: 06C15
zbMATH DE Number: 205372
zbMATH Keywords: set-representable quantum logics
zbMATH Keywords: Jauch-Piron property
zbMATH Keywords: orthomodular lattice
author: Vladimír Müller
reviewed by: Pavel Pták
MaRDI profile type: Publication
cites work: Jauch–Piron states in W*-algebraic quantum mechanics
cites work: QUANTUM LOGICS WITH JAUCH–PIRON STATES
cites work: Q5551052
cites work: Concrete quantum logics with covering properties
cites work: Almost Boolean orthomodular posets
cites work: Q4100556
cites work: Orthomodular structures as quantum logics. Transl. from the Slovak
cites work: Jauch–Piron states
description: scientific article; zbMATH DE number 205372